APPROXIMATE LINEAR MAPPING OF DERIVATION-TYPE ON BANACH *-ALGEBRA

We consider additive mappings similar to derivations on Banach *-algebras and we will first study the conditions for such additive mappings on Banach *-algebras. Then we prove some theorems concerning approximate linear mappings of derivation-type on Banach *-algebras. As an application, approximate linear mappings of derivation-type on C*-algebra are characterized.